The Townsend in the following quote is very likely the father of Jones Jackson. And possibly the son of Obadiah as Obadiah left a large estate which would enable his interest in horse breeding/racing. Wallace's American Trotting Register, Vol. 7 by National Assoc. of Trotting Horse Breeders, pg 95: #6773 PHOENIX (6) . . . "Bred by Thomas Jackson and Jacob Seib, Brooklyn, NY; passed to Townsend Jackson; then to Jones Jackson, Jamestown, NY; then to Henry Sylvester, Sinclairsville, NY; then to E. A. Chipman, Watts Flatts, NY.

From "The Jamestown Journal" 2 Sep 1859 found at www.genealogybank.com:
At the Second Annuel Fair of the Busti Union Agricultural Society held at Busti, Sept 7th and 8th 1859: The privilege of competing for Premiums is extended to Warren County, Pa., and Chautauqua County, NY. Among the Judges of Class Second Horses was Townsend Jackson. See also http://www.jacksonfamilygenealogy.com/pages/bioTownsendJackson.htm for Townsend Jackson's biography which mentions his love of fine horses.

The following source gives a birthdate of 16 Aug 1823; the biography in the Chautauqua county history publication gives an ALT birthdate of 16 Aug 16, 1824. His gravestone has 1823.

Research of Dr. Anthony Troha:
From a book series on the Dutch Congregation of Oyster Bay, Long Island, New York, we find the following genealogical records: “A Documentary History of the Dutch Congregation of Oyster Bay, Queens County, Island of Nassau (Now Long Island), Volumes 1 – 5”, by Henry A. Stoutenburgh, The Knickerbocker Press, New York (1902), Page 275:

“TOWNSEND JACKSON, of Jamestown, N. Y., son of Obadiah, b. Aug. 16, 1823; d. Jan. —, 1902; m., Mch. 15, 1843, Margaret Ann Nostrand, dau. Of Epenetus and Eliza Burt, b. Oct. 2, 1824; living in Mch., 1902.
Issue:
Edward M.
Epenetus N.
Jones.
Louise A.
Olive B.
Sanford.
The two oldest boys used to live with their gd-father Nostrand in C. S., and attended school there with the compiler" [i.e. Henry A. Stoutenburgh. C.S. was 'Cedar Swamp' part of today’s Glen Head, Long Island, N.Y.] [Warner is not listed and is assumed to have died as an infant.]

"Thus, we have the years of his birth and death. Note that these dates nearly agree with those that are listed in the book 'A Documentary History of the Dutch Congregation of Oyster Bay, Queens County, Island of Nassau (Now Long Island), Volumes 1 - 5', by Henry A. Stoutenburgh that was cited earlier in this report, i.e. “b. Aug. 16, 1823; d. Jan. -, 1902”. Since the author of the book, Mr. Stoutenburgh, stated in his tome that “The two oldest boys used to live with their gd. [grand-] father Nostrand in C. S. [“Cedar Swamp”, part of today’s Glen Head, Long Island, N.Y.], and attended school there with the compiler”, it is likely that he was still in contact, either directly or indirectly, with them and thus obtained information on Townsend and Margaret Jackson that was almost up-to-date. The date of death given in the book is probably when he learned of Townsend Jackson’s passing, which actually occurred the previous year."